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If z1=9y^2-4-10ix,z2=8y^2-20i where z1=...

If `z_1=9y^2-4-10ix,z_2=8y^2-20i` where `z_1=barz_2` then z=x+iy is equal to

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i

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  2. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

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  3. If z1=9y^2-4-10ix,z2=8y^2-20i where z1=barz2 then z=x+iy is equal to

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  4. If a rg(z1)=170^0 and arg(z2)=70^0 , then find the principal argument...

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  5. z1, z2 and z3 are the vertices of an isosceles triangle in anticlockwi...

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  6. function f , x ->R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of func...

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  7. If z(1) and z(2) are conjugate to each other , find the principal argu...

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  8. If a is a complex number such that |a|=1, then find the value of a, s...

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  9. If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...

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  10. Find the value of expression (cos(pi/2)+i sin(pi/2))(cos(pi/(2^2))+i s...

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  11. If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' a...

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  12. If a ,b are complex numbers and one of the roots of the equation x^2+a...

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  13. If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣

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  14. For x in (0,1) , prove that i^(2i+3) ln((i^3x^2+2x+i)/(i x^2+2x+i^3))=...

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  15. The sum of the non-real root of (x^2+x-2)(x^2+x-3)=12 is a.-1 b....

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  16. If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1....

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  17. The number of roots of the equation sqrt(x-2)(x^2-4x+3)=0 is (A) Th...

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  18. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...

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  19. If x=1+i is a root of the equation x^3-i x+1-i=0, then the other real ...

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  20. Find the modulus, argument, and the principal argument of the complex ...

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